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← JEE Main 2021 · 24 Feb · Shift 1
MathematicsSingle correct+4 / -1Question 68 of 90

JEE Main 2021 · 24 Feb · Shift 1, Mathematics question 68

A scientific committee is to be formed from 6 Indians and 8 foreigners, which includes at least 2 Indians and double the number of foreigners as Indians. Then the number of ways, the committee can be formed, is :

Choose one option
Answer and worked solution

Official answer: B

Cases. 2 Indians, 4 foreigners: 15×70=105015\times70=1050. 3 and 6: 20×28=56020\times28=560. 4 and 8: 15×1=1515\times1=15. Total 1625.

(B)